4x + 6y - 10 = 0 and 2x + 3y = 5
(-1,3)
(3, -1)
no solutions
Infinite solutions

Infinite solutions

Step-by-step explanation:

4x+6y-10=0 --- eqn 1

2x+3y=5 --- eqn 2

4x+6y = 2x+3y

4x+6y = 2(2x+3y)

4x+6y = 4x+6y (proven)

an

y = 6x -3y -12

y +3y +12 = 6x

=> . x = { 2y / 3 +2 } this is equation of line in terms of x

=> . if line meets the x-axis the co-ordinates of meeting point would be ( x , 0 )

=> . x = 2 ( 0 ) / 3 + 2

=> . x = 2

so, the point is ( 2 , 0 )